OAI/Algebra/Finitistic/Ordinary/OrdinaryProductSplitting.lean
7 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.LittleFinitistic.ProductModules.secondInflationline 13 - abbrev
OAI.LittleFinitistic.ProductModules.swapModuleline 16 - abbrev
OAI.LittleFinitistic.ProductModules.secondObjectline 19 - abbrev
OAI.LittleFinitistic.ProductModules.pairObjectline 22 - def
OAI.LittleFinitistic.ProductModules.splitToline 27 - def
OAI.LittleFinitistic.ProductModules.joinToline 51 - def
OAI.LittleFinitistic.ProductModules.splittingline 65Source documentation
Every module over a product ring splits into its two actual central-idempotent components.
def splitting : M ≃ₗ[L × R] pairObject L R M where …